Claim: mugreater than>7171; alphaequals=0.010.01 Sample statistics: x overbarxeq
ID: 3228171 • Letter: C
Question
Claim:
mugreater than>7171;
alphaequals=0.010.01
Sample statistics:
x overbarxequals=71.671.6,
sequals=2.92.9,
nequals=2525
What are the null and alternative hypotheses? Choose the correct answer below.
A.
H0:
muequals=7171
HA:
munot equals7171
B.
H0:
munot equals7171
HA:
muequals=7171
C.
H0:
mugreater than or equals7171
HA:
muless than<7171
D.
H0:
muless than or equals7171
HA:
mugreater than>7171
What is the value of the standardized test statistic?
The standardized test statistic is
nothing .
(Round to two decimal places as needed.)
What is the P-value of the test statistic?
P-valueequals=nothing
(Round to three decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
A.
RejectReject
Upper H 0H0.
There
is notis not
enough evidence to support the claim.
B.
Fail to rejectFail to reject
Upper H 0H0.
There
isis
enough evidence to support the claim.
C.
RejectReject
Upper H 0H0.
There
isis
enough evidence to support the claim.
D.
Fail to rejectFail to reject
Upper H 0H0.
There
is notis not
enough evidence to support the claim.
Explanation / Answer
The statistical software output for this problem is:
One sample T hypothesis test:
: Mean of population
H0 : = 71
HA : > 71
Hypothesis test results:
Hence,
Null and alternative hypotheses: Option D is correct.
Standardized test statistic = 1.03
P - value = 0.156
Decision: Option D is correct.
Mean Sample Mean Std. Err. DF T-Stat P-value 71.6 0.58 24 1.0344828 0.1556